I have five 0 IV pokemon. Three of them are Houndours.
Top that.
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I have 3. Two of them bookend a pair of my dozen 100%
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Only have 1 houndour here
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The rarest thing out there would be a 0/0/0 Blaziken with stone edge.
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Mine is a hundo so I guess it doesn't count here
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King Bidoof says Hi!!
(It isn't rarer than yours but certainly my meme potential is higher)
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Normal available one:
Letter z 0/0/0 lvl 1 non-event wild caught Unown without help of others or scanner. That Is probably one in 1000 billions, or less.
Lots of gliches or pokemon only available for very limited time.
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Rare in a different way here.
2 different accounts with the same shiny catch 5 TIMES
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I've had this happen between me and my fiancee's account multiple times. For extra fun, both of our Mew were caught with the same CP with a 1/3 odds of having the same IV. Neither of us have powered them up to try and narrow it down.
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Do November 1st Moltres count?
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Pikachu with a hat at 0% IV
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100% IV level 1 pidgey the exact opposite but exact same burn